380869632 has 396 divisors, whose sum is σ = 1372488936. Its totient is φ = 100270080.

The previous prime is 380869613. The next prime is 380869637. The reversal of 380869632 is 236968083.

380869632 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 6 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380869637) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22404088 + ... + 22404104.

Almost surely, 2^380869632 is an apocalyptic number.

380869632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380869632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686244468).

380869632 is an abundant number, since it is smaller than the sum of its proper divisors (991619304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380869632 is a wasteful number, since it uses less digits than its factorization.

380869632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 380869632 is about 19515.8815327415. The cubic root of 380869632 is about 724.8677567755.

It can be divided in two parts, 380869 and 632, that added together give a triangular number (381501 = T₈₇₃).

The spelling of 380869632 in words is "three hundred eighty million, eight hundred sixty-nine thousand, six hundred thirty-two".